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Creating Tree Diagrams to find Theoretical Probability
We are learning to…find the theoretical probability of an event. Saturday, April 15, 2017
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Vocabulary Theoretical Probability - Probability that is based on likelihood of an event happening based on all the possible outcomes. One way to determine theoretical probability is to build a TREE DIAGRAM A Tree Diagram is a way to visually represent and organize all the possible outcomes of an experiment.
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Each end “branch” represents one possible outcome!
Warren owns an Ice Cream Shop and had the sign below made to let people know what they can order: Hot Fudge Sprinkles Caramel Ice Cream: Chocolate Vanilla Strawberry Mint Toppings: Sprinkles Peanuts Bananas Make a tree diagram to find all of the possible outcomes of ice cream, toppings and sauce at the ice cream store. Sauce: Hot Fudge Caramel Hot Fudge Chocolate Peanuts Caramel Bananas Hot Fudge Caramel Hot Fudge Sprinkles Caramel Hot Fudge Vanilla Peanuts Caramel Each end “branch” represents one possible outcome! How many possible outcomes are there? Hot Fudge Bananas Caramel Hot Fudge Sprinkles Caramel Hot Fudge Strawberry Peanuts Caramel Hot Fudge Bananas Caramel Hot Fudge Sprinkles Caramel Hot Fudge 24 Total Outcomes! Mint Peanuts Caramel Hot Fudge Bananas Caramel
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Warren owns an Ice Cream Shop and had the sign below made to let people know what they can order:
Hot Fudge Sprinkles Caramel Ice Cream: Chocolate Vanilla Strawberry Mint Toppings: Sprinkles Peanuts Bananas Make a tree diagram to find all of the possible outcomes of ice cream, toppings and sauce at the ice cream store. Sauce: Hot Fudge Caramel Hot Fudge Chocolate Peanuts Caramel Bananas Hot Fudge Caramel Hot Fudge Sprinkles Caramel Hot Fudge Vanilla Peanuts What is the theoretical probability of a person walking into the store and ordering: strawberry ice cream, with bananas and hot fudge sauce? Caramel Hot Fudge Bananas Caramel Hot Fudge Sprinkles Caramel Hot Fudge Strawberry Peanuts Caramel Hot Fudge Bananas Caramel Hot Fudge Event Occurs Sprinkles Caramel Hot Fudge Mint Total Outcomes Peanuts Caramel Hot Fudge Bananas Caramel
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Warren owns an Ice Cream Shop and had the sign below made to let people know what they can order:
Hot Fudge Sprinkles Caramel Ice Cream: Chocolate Vanilla Strawberry Mint Toppings: Sprinkles Peanuts Bananas Make a tree diagram to find all of the possible outcomes of ice cream, toppings and sauce at the ice cream store. Sauce: Hot Fudge Caramel Hot Fudge Chocolate Peanuts Caramel Bananas Hot Fudge Caramel Hot Fudge Sprinkles Caramel Hot Fudge What is the theoretical probability of a person walking into the store and order any type of ice cream with sprinkles and caramel sauce? Vanilla Peanuts Caramel Hot Fudge Bananas Caramel Hot Fudge Sprinkles Caramel Hot Fudge Strawberry Peanuts Caramel Hot Fudge Bananas Caramel Hot Fudge Event Occurs Sprinkles Caramel Hot Fudge Mint Total Outcomes Peanuts Caramel Hot Fudge Bananas Caramel
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Warren owns an Ice Cream Shop and had the sign below made to let people know what they can order:
Hot Fudge Sprinkles Caramel Ice Cream: Chocolate Vanilla Strawberry Mint Toppings: Sprinkles Peanuts Bananas Make a tree diagram to find all of the possible outcomes of ice cream, toppings and sauce at the ice cream store. Sauce: Hot Fudge Caramel Hot Fudge Chocolate Peanuts Caramel Bananas Hot Fudge Caramel Hot Fudge Sprinkles Caramel Hot Fudge Vanilla Peanuts What is the theoretical probability of a person walking into the store and ordering vanilla ice cream with any kind of topping and sauce? Caramel Hot Fudge Bananas Caramel Hot Fudge Sprinkles Caramel Hot Fudge Strawberry Peanuts Caramel Hot Fudge Bananas Caramel Hot Fudge Event Occurs Sprinkles Caramel Hot Fudge Mint Total Outcomes Peanuts Caramel Hot Fudge Bananas Caramel
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Each end “branch” represents one possible outcome!
Make a tree diagram to find all of the possible outcomes in this experiment. Red Heads Tina is performing an experiment where she is rolling a number cube, spinning a spinner with 4 equal sections with the colors red, blue, yellow and green and then flipping coin. Tails 1 Blue Heads Tails Yellow Heads Tails Green Heads Tails Red Heads 2 Tails Blue Heads Tails Yellow Heads Blue Yellow Red Green Tails Green Heads Tails Red Heads 3 Tails Blue Heads Tails Yellow Heads Tails Each end “branch” represents one possible outcome! How many possible outcomes are there? Green Heads Tails Red Heads Tails Blue Heads Tails 4 Yellow Heads Tails Green Heads Tails Red Heads Tails Blue Heads Tails 5 Yellow Heads Tails Green Heads Tails Red Heads Tails 48 Total Outcomes! Blue Heads Tails 6 Yellow Heads Tails Green Heads Tails
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Make a tree diagram to find all of the possible outcomes in this experiment.
Red Heads Tina is performing an experiment where she is rolling a number cube, spinning a spinner with 4 equal sections with the colors red, blue, yellow and green and then flipping coin. Tails 1 Blue Heads Tails Yellow Heads Tails Green Heads Tails Red Heads 2 Tails Blue Heads Tails Yellow Heads Blue Yellow Red Green Tails Green Heads Tails Red Heads 3 Tails Blue Heads Tails Yellow Heads Tails Green Heads What is the theoretical probability of Tina rolling a 5, then spinning green and finally flipping tails? Tails Red Heads Tails Blue Heads Tails 4 Yellow Heads Tails Green Heads Tails Red Heads Tails Blue Heads Tails 5 Yellow Heads Tails Green Heads Event Occurs Tails Red Heads Tails Blue Heads Total Outcomes Tails Yellow Heads 6 Tails Green Heads Tails
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Make a tree diagram to find all of the possible outcomes in this experiment.
Red Heads Tina is performing an experiment where she is rolling a number cube, spinning a spinner with 4 equal sections with the colors red, blue, yellow and green and then flipping coin. Tails 1 Blue Heads Tails Yellow Heads Tails Green Heads Tails Red Heads 2 Tails Blue Heads Tails Yellow Heads Blue Yellow Red Green Tails Green Heads Tails Red Heads 3 Tails Blue Heads Tails Yellow Heads Tails Green Heads What is the theoretical probability of Tina flipping tails in her experiment? Tails Red Heads Tails Blue Heads Tails 4 Yellow Heads Tails Green Heads Tails Red Heads Tails Blue Heads Tails 5 Yellow Heads Tails Green Heads Event Occurs Tails Red Heads Tails Blue Heads Total Outcomes Tails Yellow Heads 6 Tails Green Heads Tails
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Make a tree diagram to find all of the possible outcomes in this experiment.
Red Heads Tina is performing an experiment where she is rolling a number cube, spinning a spinner with 4 equal sections with the colors red, blue, yellow and green and then flipping coin. Tails 1 Blue Heads Tails Yellow Heads Tails Green Heads Tails Red Heads 2 Tails Blue Heads Tails Yellow Heads Blue Yellow Red Green Tails Green Heads Tails Red Heads 3 Tails Blue Heads Tails Yellow Heads Tails Green Heads What is the theoretical probability of Tina rolling an even number, spinning blue and then flipping heads? Tails Red Heads Tails Blue Heads Tails 4 Yellow Heads Tails Green Heads Tails Red Heads Tails Blue Heads Tails 5 Yellow Heads Tails Green Heads Event Occurs Tails Red Heads Tails Blue Heads Total Outcomes Tails Yellow Heads 6 Tails Green Heads Tails
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Make a tree diagram to find all of the possible outcomes in this experiment.
Red Heads Tina is performing an experiment where she is rolling a number cube, spinning a spinner with 4 equal sections with the colors red, blue, yellow and green and then flipping coin. Tails 1 Blue Heads Tails Yellow Heads Tails Green Heads Tails Red Heads 2 Tails Blue Heads Tails Yellow Heads Blue Yellow Red Green Tails Green Heads Tails Red Heads 3 Tails Blue Heads Tails Yellow Heads Tails Heads What is the theoretical probability that Tina will roll a number greater than 1, spin a green or red, and finally flip tails? Green Tails Red Heads Tails Blue Heads Tails 4 Yellow Heads Tails Green Heads Tails Red Heads Tails Blue Heads Tails 5 Yellow Heads Tails Green Heads Event Occurs Tails Red Heads Tails Blue Heads Total Outcomes Tails Yellow Heads 6 Tails Green Heads Tails
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Make a tree diagram to find all of the possible outcomes in this experiment.
Red Heads Tina is performing an experiment where she is rolling a number cube, spinning a spinner with 4 equal sections with the colors red, blue, yellow and green and then flipping coin. Tails 1 Blue Heads Tails Yellow Heads Tails Green Heads Tails Red Heads 2 Tails Blue Heads Tails Yellow Heads Blue Yellow Red Green Tails Green Heads Tails Red Heads 3 Tails Blue Heads Tails Yellow Heads Tails Green Heads What is the theoretical probability that Tina will roll an odd number on the number cube in her experiment? Tails Red Heads Tails Blue Heads Tails 4 Yellow Heads Tails Green Heads Tails Red Heads Tails Blue Heads Tails 5 Yellow Heads Tails Green Heads Event Occurs Tails Red Heads Tails Blue Heads Total Outcomes Tails Yellow Heads 6 Tails Green Heads Tails
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